12605681378160 has 1280 divisors, whose sum is σ = 49798312704000. Its totient is φ = 2922656256000.

The previous prime is 12605681378111. The next prime is 12605681378207. The reversal of 12605681378160 is 6187318650621.

It is a happy number.

12605681378160 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 568 + 1 + 3 + 78 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12605681378097 and 12605681378106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22631384602 + ... + 22631385158.

It is an arithmetic number, because the mean of its divisors is an integer number (38904931800).

Almost surely, 2^{12605681378160} is an apocalyptic number.

12605681378160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12605681378160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24899156352000).

12605681378160 is an abundant number, since it is smaller than the sum of its proper divisors (37192631325840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12605681378160 is a wasteful number, since it uses less digits than its factorization.

12605681378160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12605681378160 in words is "twelve trillion, six hundred five billion, six hundred eighty-one million, three hundred seventy-eight thousand, one hundred sixty".